On generalized Stone's Theorem

Details On generalized Stone's Theorem On generalized Stone's Theorem

2002-05-23

arxiv.org/abs/math/0205252v1

Mathematics

Operator Algebras

7 pages, no figures

Scientific paper

It is known that the generator of a strictly continuous one parameter unitary
group in the multiplier algebra of a $C^{*}$-algebra is affiliated to that
$C^{*}$-algebra . We show that under natural non degeneracy conditions, this
self adjoint unbounded operator lies indeed in the (unbounded) multiplier
algebra of the Pedersen's ideal of the $C^{*}$-algebra.

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